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Finding the Fourth Proportional to 521,860.86, 721,617.66 and 414,244.26

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Solution

The fourth proportional to 521,860.86, 721,617.66 and 414,244.26 is: 572,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,860.86 : 721,617.66 = 414,244.26 : x
  2. Step 2: Convert to fraction form
    521,860.86/721,617.66 = 414,244.26/x
  3. Step 3: Cross multiply
    521,860.86x = 721,617.66 × 414,244.26
  4. Step 4: Simplify right side
    521,860.86x = 298,925,973,569.63
  5. Step 5: Solve for x
    x = 298,925,973,569.63/521,860.86
  6. Step 6: Final answer
    x = 572,807.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.